Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 829, 478, 97, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 478, 97, 691 is 1
GCD(829, 478, 97, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 478, 97, 691 is 1
GCD(829, 478, 97, 691) = 1
Given Input numbers are 829, 478, 97, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 829, 478, 97, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 478, 97, 691 is 1.
Therefore, GCD of numbers 829, 478, 97, 691 is 1
Given Input Data is 829, 478, 97, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 478 is 2 x 239
Prime Factorization of 97 is 97
Prime Factorization of 691 is 691
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(829, 478) = 396262
GCD(829, 478) = ( 829 x 478 ) / 396262
GCD(829, 478) = 396262 / 396262
GCD(829, 478) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
GCD of 829, 478, 97, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 478, 97, 691?
GCD of 829, 478, 97, 691 is 1
2. Where do I get the detailed procedure to find GCD of 829, 478, 97, 691?
You can find a detailed procedure to find GCD of 829, 478, 97, 691 on our page.
3. How to find GCD of 829, 478, 97, 691 on a calculator?
You can find the GCD of 829, 478, 97, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.